Online Public Access Catalogue (OPAC)
Library,Documentation and Information Science Division

“A research journal serves that narrow

borderland which separates the known from the unknown”

-P.C.Mahalanobis


Image from Google Jackets

Higher dimensional categories: from double to multiple categories / Macro Grandis

By: Publication details: New Jersey: World Scientific, 2019Description: xi, 522 pages, 23.5 cmISBN:
  • 9789811205101
Subject(s): DDC classification:
  • 23 512.6 G753
Contents:
Introduction -- Part I From Categories to Double Categories -- A Review of Basic Category Theory -- Introducing Two-Dimensional Category Theory -- Double Categories -- Double Adjunctions -- Double Limits -- Part II Multiple Categories -- Weak and Lax Multiple Categories -- Multiple Adjunctions -- Monads and Algebras for Multiple Categories -- Appendix A -- Applications in Homological Algebra and Algebraic Topology -- Appendix B -- Symmetric Cubical Sets and Cubical Categories -- Appendix C -- Solutions and Hints -- References -- Index
Summary: This book can be used as a textbook for graduate and postgraduate studies, and as a basis for research. Notions are presented in a 'concrete' way, with examples and exercises; the latter are endowed with a solution or hints. Part I, devoted to double categories, starts at basic category theory and is kept at a relatively simple level. Part II, on multiple categories, can be used independently by a reader acquainted with 2-dimensional categories.
Tags from this library: No tags from this library for this title. Log in to add tags.
Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 512.6 G753 (Browse shelf(Opens below)) Available 138470
Total holds: 0

Includes bibliographical references and index

Introduction --
Part I From Categories to Double Categories -- A Review of Basic Category Theory -- Introducing Two-Dimensional Category Theory -- Double Categories -- Double Adjunctions -- Double Limits --
Part II Multiple Categories -- Weak and Lax Multiple Categories -- Multiple Adjunctions -- Monads and Algebras for Multiple Categories --
Appendix A -- Applications in Homological Algebra and Algebraic Topology --
Appendix B -- Symmetric Cubical Sets and Cubical Categories --
Appendix C -- Solutions and Hints --
References --
Index

This book can be used as a textbook for graduate and postgraduate studies, and as a basis for research. Notions are presented in a 'concrete' way, with examples and exercises; the latter are endowed with a solution or hints. Part I, devoted to double categories, starts at basic category theory and is kept at a relatively simple level. Part II, on multiple categories, can be used independently by a reader acquainted with 2-dimensional categories.

There are no comments on this title.

to post a comment.
Library, Documentation and Information Science Division, Indian Statistical Institute, 203 B T Road, Kolkata 700108, INDIA
Phone no. 91-33-2575 2100, Fax no. 91-33-2578 1412, ksatpathy@isical.ac.in